Factor 9w^2-25

$9 w^{2} - 25$

Step 1

Rewrite $9 w^{2}$ as ${(3 w)}^{2}$ .

${(3 w)}^{2} - 25$

Step 2

Rewrite $25$ as $5^{2}$ .

${(3 w)}^{2} - 5^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 w$ and $b = 5$ .

$(3 w + 5) (3 w - 5)$